Critical Behavior of Ising Models with Random Long-Range (Small-World) Interactions
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedade Brasileira de Física
2006
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| _version_ | 1876426036096270336 |
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| author | X. Zhang |
| author_facet | X. Zhang |
| contents | Critical Behavior of Ising Models with Random Long-Range (Small-World) Interactions X. Zhang M. A. Novotny Física, Astronomía y Matemáticas Monte Carlo Small world Nanomaterials The critical scaling behavior of Ising models with long range interactions is studied. These long-range interactions, when imposed in addition to interactions on a regular lattice, lead to small world graphs. Large-scale Monte Carlo simulations, together with finite-size scaling, is used to obtain the critical behavior of a number of different models. These include the z-model introduced by Scalettar, standard small-world bonds superimposed on a square lattice, and physical small-world bonds superimposed on a square lattice. These scaling results provide further evidence to support the existence of physical (quasi-) small-world nanomaterials. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413654016 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.36 |
| format | Artículo científico |
| id | redalyc_46413654016 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Critical Behavior of Ising Models with Random Long-Range (Small-World) Interactions X. Zhang Física, Astronomía y Matemáticas Monte Carlo Small world Nanomaterials Critical Behavior of Ising Models with Random Long-Range (Small-World) Interactions X. Zhang M. A. Novotny Física, Astronomía y Matemáticas Monte Carlo Small world Nanomaterials The critical scaling behavior of Ising models with long range interactions is studied. These long-range interactions, when imposed in addition to interactions on a regular lattice, lead to small world graphs. Large-scale Monte Carlo simulations, together with finite-size scaling, is used to obtain the critical behavior of a number of different models. These include the z-model introduced by Scalettar, standard small-world bonds superimposed on a square lattice, and physical small-world bonds superimposed on a square lattice. These scaling results provide further evidence to support the existence of physical (quasi-) small-world nanomaterials. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413654016 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.36 |
| title | Critical Behavior of Ising Models with Random Long-Range (Small-World) Interactions |
| topic | Física, Astronomía y Matemáticas Monte Carlo Small world Nanomaterials |
| url | https://www.redalyc.org/articulo.oa?id=46413654016 |